Find the length of (A + B), and (A B), where A = 31+2 and B = i 2j +3 k. Ans. 5, 5 38521
Answers
Answered by
0
Answer:
search-icon-image
Class 12
>>Maths
>>Vector Algebra
>>Operations on Vectors
>>If OA = i + j + k, AB = 3i - 2j + k, BC
Question
Bookmark
If
OA
=i+j+k,
AB
=3i−2j+k,
BC
=i+2j−2k and
CD
=2i+j+3k then find the vector
OD
.
Medium
Solution
verified
Verified by Toppr
Correct option is B)
AB
=3
i
^
−2
j
^
+
k
^
⇒
OB
−
OA
=3i−2
j
^
+
k
^
⇒
OB
=3i−2
j
^
+
k
^
+
OA
⇒
OB
=3i−2
j
^
+
k
^
+(
i
^
+
j
^
+
k
^
)
⇒
OB
=4
i
^
−
j
^
+2
k
^
Now,
BC
=
OC
−
OB
⇒
OC
=
BC
+
OB
⇒
OC
=(i+2j−2k)+(4
i
^
−
j
^
+2
k
^
)
⇒
OC
=5
i
^
+
j
^
similarly,
CD
=
OD
−
OC
⇒
OD
=
CD
+
OC
⇒
OD
=(2
i
^
+
j
^
+3
k
^
)+(5
i
^
+
j
^
)
⇒
OD
=7
i
^
+2
j
^
+3
k
^
PLEASE MARK IT AS BRAINLIST
Similar questions